Seems simple enough to use. I would like a bit more confirmation of selecting a Pokémon though. In the gif where you are checking the summary, the green colour looks fine but I think you should use a highlighted green while the cursor is on that player rathen then using a highlighted blue. Should be easy to add.

The reason I say this is, if you leave the cursor on the pokemon you selected, you have no way to know it is still selected other then the glow that appears upon select.
So the green you have now is fine for when the cursor is not on the selected Pokémon, then lighten the green up (like you currently do with the blue) to make it more clear that the Pokémon is already selected.
Right now I feel it's a nice graphical menu with a design flaw.

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